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29971854 = 232111931257
BaseRepresentation
bin111001001010…
…1010110001110
32002101201122200
41302111112032
530133044404
62550222330
7512520333
oct162252616
962351580
1029971854
1115a11330
12a0549a6
136295233
143da298a
152970839
hex1c9558e

29971854 has 96 divisors (see below), whose sum is σ = 77276160. Its totient is φ = 8294400.

The previous prime is 29971841. The next prime is 29971891. The reversal of 29971854 is 45817992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116494 + ... + 116750.

It is an arithmetic number, because the mean of its divisors is an integer number (804960).

Almost surely, 229971854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29971854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38638080).

29971854 is an abundant number, since it is smaller than the sum of its proper divisors (47304306).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29971854 is a wasteful number, since it uses less digits than its factorization.

29971854 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 323 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 29971854 is about 5474.6556056066. The cubic root of 29971854 is about 310.6260466722.

It can be divided in two parts, 2997 and 1854, that added together give a triangular number (4851 = T98).

The spelling of 29971854 in words is "twenty-nine million, nine hundred seventy-one thousand, eight hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 19 22 31 33 38 57 62 66 93 99 114 171 186 198 209 257 279 341 342 418 514 558 589 627 682 771 1023 1178 1254 1542 1767 1881 2046 2313 2827 3069 3534 3762 4626 4883 5301 5654 6138 6479 7967 8481 9766 10602 12958 14649 15934 16962 19437 23901 25443 29298 38874 43947 47802 50886 53713 58311 71703 87637 87894 107426 116622 143406 151373 161139 175274 262911 302746 322278 454119 483417 525822 788733 908238 966834 1362357 1577466 1665103 2724714 3330206 4995309 9990618 14985927 29971854